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Five sixths of a number is three fifths of a hundred. What's this number?
Five-sixths of a number is three-fifths of a hundred, and this number is: 72.

Mathematics is a discipline that studies the concepts of quantity, structure, change, space and information, and belongs to a formal science from a certain point of view. Mathematics is produced by counting, calculating, measuring and observing the shape and motion of objects through abstract and logical reasoning. In many countries and regions, mathematics has become a part of education. It is applied in different fields, including science, engineering, medicine, economy and finance.

Mathematicians also study pure mathematics, which is the substantive content of mathematics itself and does not aim at any practical application. Mathematics originated from the early production activities of human beings, and the ancient Babylonians had accumulated some mathematical knowledge, which could be applied to practical problems. As far as mathematics itself is concerned, their mathematical knowledge is only obtained through observation and experience, and there is no comprehensive conclusion and proof, but their contribution to mathematics should also be fully affirmed.

Score history:

The earliest fraction was the reciprocal of an integer: an ancient symbol representing one-half, one-third, one-quarter and so on. Egyptians used the Egyptian score of 1000 BC. About 4000 years ago, Egyptians separated with slightly different scores. They use the least common multiple and unit fraction. Their method gives the same answer as the modern method. Egyptians also have different expressions about sawdust and the second generation of mathematical papyrus.

The Greeks used unit fractions and (post) continuous fractions. Followers of the Greek philosopher Pythagoras found that two square roots cannot be expressed as part of an integer. Usually this may be wrong, because it is said that he was executed to expose this fact. Among 150 Indians in India, Jain mathematicians wrote "Sthananga? Buddhist scriptures, including number theory, arithmetic operation and operation.